Calculate the value of y to the nearest hundredth.

Calculate The Value Of Y To The Nearest Hundredth.

Answers

Answer 1

Answer:

y ≈ 9.24

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{8}{y}[/tex] ( multiply both sides by y )

y × cos30° = 8 ( divide both sides by cos30° )

y = [tex]\frac{8}{cos30}[/tex] ≈ 9.24 ( to the nearest hundredth )


Related Questions

round 6,577 the nearest thousand

Answers

Answer: 7,000

Step-by-step explanation: the hundred was greater than 5 so we round up any number after whatever you are doing if it’s 5 or greater you round up

pls help i don’t understand!

Answers

Answer:  111 degrees

You may need to input the number only without the "degrees".

=============================================================

Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

---------------------

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

---------------------

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

----------------------

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Brian invests £1850 into his bank account. He receives 2.7% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

£1999.85

Step-by-step explanation:

A = P(1 + rt)

Where:

A = Amount after t years

P = Initial amount invested = £1850

r = Interest rate = 2.7%

t = Time in years = 3 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 2.7%/100 = 0.027 per year.

Solving our equation:

A = £1850(1 + (0.027 × 3))

A = £1999.85

Therefore, Brian will have £1999.85 after 3 years.

A triangle has side lengths of 5a +3 inches and 2a +3 inches. If the perimeter of the triangle is 3a + 12 inches, which expression represents the length, in
inches, of the third side of the triangle?

Answers

Answer:

A. 2a+6

Step-by-step explanation:

I did the test and this is what I got.

Find the annual interest rate. $I=\$160$ , $P=\$2000$ , $t=8$ months The annual interest rate is %.

Answers

Answer:

[tex]1\%[/tex]

Step-by-step explanation:

Simple interest (I) = $160

Principal amount (P) = $2000

Time period (t) = 8 months

Let R denotes rate of interest.

Relation between simple interest, principal amount, time and rate of interest  is given by [tex]I=\frac{PRT}{100}[/tex]

[tex]160=\frac{2000(R)(8)}{100} \\\\160=160R\\R=1\%[/tex]

Answer:

12

Step-by-step explanation:

It would be: r = I * 100 / P * R

r = 160.67 * 100 / 2000 * 2/3

r = 16067*3 / 4000

r = 48201 / 4000

r = 12

2
A cell phone tower is the
shape of a rectangular
pyramid. The base has
dimensions of 12 ft by 16 ft.
The tower takes up 1152 cubic
feet of space. How many feet
tall is the tower?

Answers

The feet is one hundred inches

Permutations
How many different six-letter words can be formed from the word SCHOOL?

Answers

Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

please help me !!! i'll give brainliest

Answers

Answer:

a. root (x^2 + 64)

Step-by-step explanation:

(8^2 + x^2) = y^2

If you root both sides,

y = root (x^2 + 64)

The scale of a map is 1 cm: 75 km. What is the actual distance between two towns that are 4 cm apart on the map?

Answers

Answer:

300

Step-by-step explanation:

(75*4)/1

The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.

what can you conclude about the rain and the students commute on the bus and train?​

Answers

Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent

For problem 5, use the ordered pairs to answer the following question. MUST SHOW YOUR WORK FOR FINDING SLOPE.

Answers

They will not intersect (I hope this helped)

Work out the size of angle x.
105°
to

Answers

Answer:

105

Step-by-step explanation:

cuz it is corresponding angle


5
An atom silicon is approximately 0.00000000067 Imeters wide. How do you express that number in scientific notation?
A 6.7 x 1010
meters
B 67 x 10-10
meters
© 6.7 x 10-10 meters
11
D 6.7 x 10
meters

Answers

A hhhhhhhhhhnjjjjnnnnnjjkkk

I will go down on you at this point

Answers

How many t shirts does Jill want?

If you are going 250 miles somewhere and it cost 75 cents per mile how much money is that

Answers

Answer:

$187.50

Step-by-step explanation:

Set up an equation

250 m/$x = 1 m/$0.75

Cross multiply

250 miles × $0.75 = 1x

$187.50 = x

Help me pleaseeeee I need this quick

Answers

Answer:

Step-by-step explanation:

Multiply?

42
40
x
Find the unknown side length, x. Write your answer in simplest radical form.
A. 2.41
B. 429
C. 48
D. 58

Answers

Answer:

Your answer is D. 58

Step-by-step explanation:

x= [tex]\sqrt{(42^2+40^2)}[/tex]

Planet Fitness gym charges $15 per month plus $50 for a membership. Total
Fitness gym charges $25 per month and no membership fee. After how many months
would the total cost be the same for both gyms?

Answers

Answer:

planet fitness will take one month and total fitness will take 3 months

Step-by-step explanation:

planet fitness:

75

total fitness:

25

50

75

As an assistant in pet store, one of your responsibilities is to fill the aquariums with water. One 50-gallon aquarium is 36 inches long and 16 inches wide, and is filled to a depth of 20 inches. To the nearest whole number of cubic inches, how much water do you need to fill the aquarium to that depth?

Answers

Answer:

Eleven thousand five hundred and twenty

Step-by-step explanation:

E2021

someone please help me with this problem

Answers

Answer:

x=45

y=135

z=45

Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey​

Answers

Answer:

hmm

Step-by-step explanation:

Hmmmmmmmmmmmmmmmmmm

WILL MARK BRAINLIEST IF RIGHT DONT ANSWER IF U DONT KNOWWWW

Answers

Answer:

ASA

Step-by-step explanation:

Angles WXV and ZXY were proven congruent.

Angles W and Y were proven congruent.

Sides WX and XY were proven congruent.

1. What is the circumference of a tire with a diameter of 12 inches?

A36
B48
C24
D6
2. What is the radius of a circle with a diameter of 20 inches?

A10
B60
C30
D40
3. What is the circumference of a circle with a radius of 12?

A24
B72
C6
D36
4. What is the circumference of a circle with a radius of 7 feet?

A28
B42
C14
D3.5
5. What is the radius of a circle with a diameter of 36 inches?

A6
B18
C12
D16
6. What is the circumference of a circle with a diameter of 30 centimeters?

A60
B90
C50
D15
7. Is the diameter of a tire less than, greater than, or equal to its circumference?

Aequal
Bnot enough information
Cless than
Dgreater than
8. What is the diameter of a tire with a radius of 11 inches?

A22
B33
C5.5
D121
9. Your favorite CD has a radius of 9 centimeters. What is the circumference of the CD?

A18
B4.5
C27
D54
10. Which is true about the radius and diameter?

AThe radius and diameter can sometimes be equal.
BThe diameter is two times the size of the radius.
CThe diameter is half the size of the radius.
DThe radius is two times the size of the diameter.

Answers

Answer:

1) A. 36

2) A. 10

3) B. 72

4) B. 42

5) A. 6

6) B. 90

7) C. less than

8) A. 22

9) D. 54

10) B. The diameter is two times the size of the radius.

Step-by-step explanation:

1) 12 x 3.14 = 36

2) 20/2 = 10

3) 12 x 2 x 3.14 = 72

4) 7 x 2 x 3.14 = 42

5) 36/3.14 = 12/2 = 6

6) 30 x 3.14 - 90

8) 11 x 2  =22

9) 9 x 2 x 3.14 = 54

evaluate functions from their graph g(7)

Answers

Just evaluate the functions from their graph

Answer:

Evaluate functions from their graph g(7)= 4

Step-by-step explanation:

If the point (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is on the graph, then g(a)=bg(a)=bg, left parenthesis, a, right parenthesis, equals, b.

We should look for the point on the graph whose x-coordinate is 7.

The point on the graph whose xxx-coordinate is 7 is the point (7,4)

Therefore, g(7)=4.

I don’t know how to do these I need help

Answers

k = 15 is the answer!!!!!!

Please help . Write 405 in scientific notation 405

Answers

Answer:

4.05 x 10^2

Step-by-step explanation:

Please mark brainiest

and give 5 stars

Thanks

Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account?​

Answers

Answer:

12 months

Step-by-step explanation:

2150-350=1800

1800÷150=12

If the scale factor is 5/3 what is the width of the new rectangle?

Answers

Answer:

If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Box the greatest decimal and encircle the least decimal in each number.

1. 3.49 3.498 3.149 3.4

2. 333.5 333.56 33.356 3.987

3. 8.047 80.47 804.7 0.8047

4. 700.08 700.088 700.008

5. 0.123 0.457 0.127 0.0678​

Answers

Answer:

From greatest to least

1) 3.498 3.49 3.4 3.149

2) 333.56 333.5 33.356 3.987

3) 804.7 80.47 8.047 0.8047

4) 700.088 700.08 700.008

5) 0.457 0.127 0.123 0.0678

Step-by-step explanation:

Explaining just 1st and 4th

1.

The number 3.498 is bigger than 3.49 because it's basically this number 3.490

The same thing happens in 2nd and 3rd number 3.49 > 3.40

And the last number I think I don't have to explain :-)

4.

700.088 is bigger because 700.08 is smaller

700.080

If you have any questions contact me on amino Ayleena

1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet

Answers

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

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